Moment functions and central limit theorem for Jacobi hypergroups on \([0,\infty [\)
Random walks on hypergroups are considered together with moment functions in this paper. The author proves in \(L_2\) an estimate for difference between random walk moment function and its linearization. The result is used to derived a CLT in hyperbolic spaces. In particular, for Jacobi hypergroups on \([0,\infty[\), the author shows that the limit in CLT does not depend on the first Jacobi hypergroup parameter.
scientific article; zbMATH DE number 6348424
scientific article